Prime p₀= 724966519650151841 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 118 2 88 2 76 2 28 2 22 2 (?)
a_n: 0 2 18 20 138 140 228 230 306 308 336 338 360 362
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 362
Found by: stasieks
db: batch=73, k=14, 16 118 88 76 28 22

STPT(10)	724965679240446701	0 2 30 32 78 80 126 128 156 158	-840409705140
STPT(10)	724965750571162277	0 2 60 62 72 74 84 86 144 146	-769078989564
SPT(16)	724965776976206789	0 20 44 60 74 122 140 144 188 192 210 258 272 288 312 332	-742673945052
STPT(10)	724965882007320101	0 2 36 38 78 80 120 122 156 158	-637642831740
STPT(10)	724965947082804521	0 2 6 8 48 50 90 92 96 98	-572567347320
SPT(16)	724966026700242251	0 8 38 42 72 80 108 150 170 212 240 248 278 282 312 320	-492949909590
STPT(10)	724966867363668581	0 2 36 38 78 80 120 122 156 158	347713516740
SPT(16)	724966909852548521	0 72 78 86 90 110 126 138 170 182 198 218 222 230 236 308	390202396680
STPT(10)	724966941426151817	0 2 30 32 42 44 54 56 84 86	421775999976
SPT(16)	724966998852020153	0 6 20 80 84 116 144 204 290 350 378 410 414 474 488 494	479201868312
TPT(14)	724967741203615241	0 2 48 50 66 68 90 92 126 128 168 170 180 182	1221553463400